Our world around us is 3D. A camera projects this information onto a 2D plane and throws away a lot of information in the process.
When we move in the world we need to know where obstacles are relative to us. We infer this from all the sensory input we receive and have a pretty good idea how far things are away from us because we have learned how size relations should be.
A computer could and can (to some degree) infer this information from regular 2D videos as well, because in the end most algorithms that do obstacle detection/avoidance have to extract positions in 3D to know exactly where those obstacles are.
A LIDAR (and other depth sensing technologies) provide a distance for each measurement (sometimes the distance is the only information but some sensors provide intensity, color, etc. as well).
So we immediately know the position in space of the measured point and thus can more or less directly extract obstacles in 3D space relative to the robot/car/drone without going the detour of "imagining" 3D information from the projected 2D image.
So it is
3D world -> 3D sensor -> 3D points -> 3D obstacles
versus
3D world -> 2D sensor(s) -> Extraction of depth -> 3D points -> 3D obstacles